Pith Number

pith:3GQZIDER

pith:2004:3GQZIDERVQA22WWTAYFMG2CVUP

not attested not anchored not stored refs pending

Exact Solution of Ising Model on a Small-World Network

J. M. B. Lopes dos Santos, J. Viana Lopes, R. Toral, Yu. G. Pogorelov

arxiv:cond-mat/0402138 v2 · 2004-02-04 · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GQZIDERVQA22WWTAYFMG2CVUP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

A Modified Ising Model of Barab\'asi-Albert Network with Gene-type Spins

Receipt and verification

First computed	2026-07-04T14:48:42.353474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a1940c91ac01ad5ad3060ac36855a3c22ca2ffd13389833f6c92932e4cbdfc

Aliases

arxiv: cond-mat/0402138 · arxiv_version: cond-mat/0402138v2 · doi: 10.48550/arxiv.cond-mat/0402138 · pith_short_12: 3GQZIDERVQA2 · pith_short_16: 3GQZIDERVQA22WWT · pith_short_8: 3GQZIDER

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3GQZIDERVQA22WWTAYFMG2CVUP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d9a1940c91ac01ad5ad3060ac36855a3c22ca2ffd13389833f6c92932e4cbdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aad65ebdc33ddc20d84627f36777bba87432a3550a049cf2ac89078ec8d2316",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2004-02-04T18:42:41Z",
    "title_canon_sha256": "b10407d78658a9daeae025960c0f037e8efdb98a1d50b6a568f51017c8c851cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0402138",
    "kind": "arxiv",
    "version": 2
  }
}